A simplicial complex $K$ is called minimally non-Golod if its Stanley--Reisner ring is not Golod but becomes so after removing any one of the vertices of $K$. In this talk, we discuss the relationship between minimally non-Golodness and the condition that the moment-angle complex $\mathcal{Z}_K$ is homotopy equivalent to a connected sum of sphere products. We show that if $\mathcal{Z}_K$ is homotopy equivalent to a connected sum of sphere products with two spheres in each product, then $K$ is the join of an $n$-simplex and a minimally non-Golod complex. In particular, $K$ is minimally non-Golod for every moment-angle manifold $\mathcal{Z}_K$ homeomorphic to such a connected sum.